Monad bundles in heterotic string compactifications
Monad bundles in heterotic string compactifications
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DOI：
10.1088/1126-6708/2008/07/104
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发表时间：
2008-05
影响因子：
5.4
通讯作者：
L. Anderson;Yang-Hui He;A. Lukas
中科院分区：
文献类型：
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作者：
L. Anderson;Yang-Hui He;A. Lukas
本文在E8 × E8杂化弦紧化的背景下研究了完全交Calabi-Yau流形上的正单子向量丛.我们表明，类这样的束，受杂种优势异常条件，是有限的，由大约7000个模型。我们解释如何计算这些模型的完整粒子谱。特别是，我们证明了在所有情况下，矢量样的家庭反家庭对的情况下。我们还验证了一组高度非平凡的必要条件的束的稳定性。一个完整的稳定性证明将出现在一个配套文件。对所有模型的扫描表明，即使是一些基本的物理约束也会大大减少可行模型的数量。
In this paper, we study positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 × E8 heterotic string compactifications. We show that the class of such bundles, subject to the heterotic anomaly condition, is finite and consists of about 7000 models. We explain how to compute the complete particle spectrum for these models. In particular, we prove the absence of vector-like family anti-family pairs in all cases. We also verify a set of highly non-trivial necessary conditions for the stability of the bundles. A full stability proof will appear in a companion paper. A scan over all models shows that even a few rudimentary physical constraints reduces the number of viable models drastically.